%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:12:23 PM UTC 2026
% Result : Unsatisfiable 1.17s 1.26s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 37 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_2) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_3) ).
fof(f4,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_4) ).
fof(f5,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_5) ).
fof(f6,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_6) ).
fof(f7,negated_conjecture,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_7) ).
fof(f8,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_8) ).
fof(f9,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_9) ).
fof(f10,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_10) ).
tcf(c_59,plain,
! [X0: $i] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( increases(difference(disbanding_rate(X0,X3),disbanding_rate(X1,X3)))
| ~ environment(X2)
| ~ decreases(resources(X2,X3))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( constant(difference(disbanding_rate(X0,X3),disbanding_rate(X1,X3)))
| ~ environment(X2)
| ~ constant(resources(X2,X3))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,negated_conjecture,
environment(sk1),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,negated_conjecture,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,negated_conjecture,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( constant(difference(disbanding_rate(X0,X2),disbanding_rate(X1,X2)))
| ~ constant(resources(sk1,X2))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[c_61,c_63]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] :
( increases(difference(disbanding_rate(X0,X2),disbanding_rate(X1,X2)))
| ~ decreases(resources(sk1,X2))
| ~ greater(resilience(X1),resilience(X0))
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[c_60,c_63]) ).
tcf(c_154,plain,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
inference(resolution,[status(thm)],[c_64,c_132]) ).
tcf(c_155,plain,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(resources(sk1,sk2)) ),
inference(global_subsumption_just,[status(thm)],[c_154,c_62,c_154]) ).
tcf(c_163,plain,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers)) ),
inference(resolution,[status(thm)],[c_64,c_118]) ).
tcf(c_164,plain,
constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(global_subsumption_just,[status(thm)],[c_163,c_62,c_65,c_67,c_154,c_163]) ).
tcf(c_172,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c_155,c_68]) ).
tcf(c_173,plain,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(global_subsumption_just,[status(thm)],[c_172,c_66,c_172]) ).
tcf(c_186,plain,
~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[c_59,c_173]) ).
tcf(c_187,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_186,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 01:05:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.17/1.26 % SZS status Started for theBenchmark.p
% 1.17/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.26
% 1.17/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.26
% 1.17/1.26 % ------ iProver source info
% 1.17/1.26
% 1.17/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.26 % git: non_committed_changes: false
% 1.17/1.26
% 1.17/1.26 % ------ Parsing...% successful
% 1.17/1.26
% 1.17/1.26
% 1.17/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.17/1.26
% 1.17/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.17/1.26
% 1.17/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.26
% 1.17/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.27
% 1.17/1.27
%------------------------------------------------------------------------------